Question

the area of a quadrilateral is 180 cm sq. the length of the perpendiculars drawn from the opposite vertices on the diagonals are 6cm and 14cm respectively. find the length of the diagonal​

Answer 1

Answer:

yes at last sm who gives 50 point

Step-by-step explanation:

I'm really sorry couldn't but
THANKS FOR THE POINTS

Answer 2

Answer:

The length of the diagonal is 18cm.

Step-by-step explanation:

Let the length of the diagonal be d

height of triangle 1, h1 = 6cm

height of triangle 1, h2 = 14cm

Area = 180 cm square

Area of a quadrilateral = 1/2 x  d x ( h1 + h2 )

180 = 1/2 x d x ( 6 + 14 )

180 = (20 x d)/2

(180 x 2)/20 = d

18 cm =  d

Thus, the length of the diagonal is 18cm.